The Evolution of Mathematics.

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Transcript of The Evolution of Mathematics.

How did Greece improve on the early Egyptians concepts of math?SymbolsItalyCreated Roman Numerals.Roman Numerals are when the numbers look like letters. Like when V=5.Fibonacci, a man born in Italy, raised in West Africa, brought the Arabic numeration system to Europe, which is the smae numeration system we study today.EgyptIn Egypt the decimal numeric system was developed. This system was developed based on our own 10 fingers! They have their own numeration system. They also developed their own counting system using symbols. Written numbers were units, a heel bone system for tens, a coil of rope for hundereds, and a lotus flower for thousands.GreeceGreece has a lot of people who helped start mathematics, such as Thales, Pythagoras, and Euclid.Thales created the right trianglePthagoras has made something called the Pythagorean Theorem, it's a²+b²=c².Euclid created Euclidean geometry. The Evolution of MathematicsBy: Jude MohammedInfluencesThe two main influnces on Rome were Greece and Egypt.People credited all the knowledge of geometry to Greece, although geometry was originally developed in Egpyt then passed onto Greece.What Careers Require Algebra/Geometry?Transportation Industry: They use geometry to determine the angles involved in each Plane's flight path.Construction industry: Use geometry to make important calculations. Fun Fact:The Geometry that we study todayis what the famous mathameticion Euclid discovered and wrote about.He had 13 giant files filled with mathematical theories.GeometryAlgebraCooking: Assists chefs in measuring the amount of each ingredient they needFitness: To determine how much fat someone has and how much fat needs to be lostArchitecture: To convert the inch or fraction to feet or yards so that the drawing has the correct proportions References

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https://books.google.com.kw/books?id=-pTzCAAAQBAJ&pg=PA64&lpg=PA64&dq=What+are+some+similarities+between+the+early+Chinese+and+Babylonians?&source=bl&ots= psWzhD4Pl&sig=Time and CalendarsAstronomy was one of the first ways that time was measured. They used the sun, the moon, and the stars to measure time.Egyptians were the first to develop a calendar, using both Astronomy and Astrology.The first people to have a 24 four hour day were the Egyptians, butThe Babylonians were the first to use the 60 minute hour. The seconds came later, around the year 1000.https://nrich.math.org/6070https://eplorable.com/egyptian-mathematicswww.kidsmathgamesonline.com/facts/history.htmlwww.storyofmathematics.com/chinese.html www.storyofmathematics.com/indian.htmlwww.storyofmathematics.com/roman.htmlwww.storyofmathematics.com/greek.htmlwww.storyofmathematics.com/sumerian.htmlwww.storyofmathematics.com/egyptian.htmlwww.math.tamu.edu/~dallen/history/arab/arab.htmlwww.mathsisfun.com/fibonacci-sequence.html

Babylonians, Greeks, and Indians were all influenced by Egyptian mathematics.Their theories have been passed onto the Greeks, helping the people from the Hellenistic time period develop more advanced theories of mathematics. Such as geometry, which led to Euclidean Geometry.Chinese and Babylonians have the same number systemAlso the same technical expressionsIn both Babylon and China sets of linear equations were solved by eliminating one unknown after the other.What are some similarities between the early Chinese and Babylonians?MesopotamiaIn Mesopotamia they created a pictograph.They helped develope arithmetic and geometric systems.Mesopotamia developed something the other countries did not, which is a symbol for the number 0. They developed PI and the circumfrence of a circle.IndiaIn India the mathematics they created were highly more advanced than others.They created a way to write numbers starting with the tens and moving all the way to the trillions.They also provided of evidence of helping to create arithmetic operations.Before Pythagoras, a texted called "Sulva Sutras" listed several parts of the Pythagorean Theorem.ChinaChina created a numeration system, where they used bamboo rods arranged to represent the number 1 to 9.Chinese develpoed the abacus, but it was told that the abacus was developed elsewhere long before Chinese developed it.3,000 B.C. Egyptians usedadvanced mathematicssuch as algebra, arithmetic,and geometry. 1,900 - 1680 B.C.Babylonians developedPI and the circumfrence of a circle1100 B.C. Chinese mathematicsdeveloped concepts such as negative numbers,decimals, algebra, and geometry.700 B.C.Greek mathematics developed such asthe Pythagorean Theorem,and Euclidean Geometry.1,000 B.C.Hindu numeric sytem was developed.Moving Towards Modern Times

16th Centurysymbols for addition and subtraction were developed.1557 Equal sign was developedMathematicshelped develop computers.7th Century MathematicsMohammed al- Khwarizmi developed "Al Jabr" or as we call it, Algebra.Al- Khwarizmi wrote a book all about algebraic thinking, theories, and epressions.Al-Khwarizmi wrote all his expressions in full sentences because there were no symbols back then.From 700-1200 AD, there were many contibutions to mathematics in the Arab world.Before symbols were developed, people had to write equations in full sentences.ImpactsWith time and calendearson their hands, civilizationcould predict when events such as floods would happen.